
Loc Nguyen (2016). Mathematical Approaches to User Modeling (Accepted on 2015, January 4)
Type

Book

Abstract

The first edition of the book “Mathematical Approaches to User Modeling” is developed from my PhD dissertation “A User Modeling for Adaptive Learning”. It was accepted on 4th January 2015 by Scientific Research Publishing (SCIRP) and finished on 13rd July 2016 but it is not published yet. Following is the abstract of the book.
User model is description of user's information and characteristics in abstract level. User model is very important to adaptive software which aims to support user as much as possible. The process to construct user model is called user modeling. As the title suggests, the book focuses on mathematical approaches to user modeling. The book includes seven main chapters:
 Chapter I is a survey of user model, user modeling, and adaptive learning.
 Chapter II introduces the general architecture of the proposed user modeling system Zebra and Triangular Learner Model (TLM).
 Chapter III, IV, V describes three submodels of TLM such as knowledge submodel, learning style submodel, and learning history submodel in full of mathematical formulas and fundamental methods. These are the most important chapters.
 Chapter VI gives some approaches to evaluate TLM and Zebra.
 Chapter VII summarizes the research and discusses future trend of Zebra.
The whole book is available at
http://mum.locnguyen.net
In general, the first difference of the book is to introduce my innovative works in mathematics, probability, user modeling, machine learning, data mining, and adaptive learning. The second difference is that the user modeling system Zebra is implemented as computer software associated to the book, available at:
http://zebra.locnguyen.net
Moreover, examples, mathematical formulas, and mathematical models inside the book are implemented separately and integrated into another computer software.

In

Publisher: Scientific Research Publishing (SCIRP).
Contact:
Address 1: Scientific Research Publishing Inc., Building 5, Headquarters Space of Optical Valley, Tangxun Lake North Road #38,
East Lake HighTech Development Zone, Wuhan 430223, Hubei Province, China.
Address 2: Scientific Research Publishing Inc., P. O. BOX 54821, Irvine CA 926194821, USA.
Website: http://www.scirp.org
Founder: Professor Huaibei Zhou.
Email: jdaip@scirp.org
Skype: scirp_service
Tel: +12092662606
WPA: 1655362766

Identifiers

Open Access.

Links


Citations

Nguyen, L. (2016). Mathematical Approaches to User Modeling. Long Xuyen, An Giang, Vietnam: Scientific Research Publishing (SCIRP).

Cited


Indexed

CABI, CrossRef, DOAJ, EBSCO, Google Scholar, Index Copernicus, Open Access Library, PMC, Portico, ProQuest, Thomson Reuters, ProQuest

Metrics


Categories

Mathematics and Statistics


Loc Nguyen (2015, December 15). Matrix Analysis and Calculus
Type

Book

Abstract

Statistics, multivariate data analysis and convex optimization are applied widely in many scientific domains and most analytical techniques are developed based on matrix analysis and matrix calculus because matrix is abstract representation of multivariate data. Although it is slightly confused for us to comprehend their concepts and theories, matrix analysis and calculus give us exciting results which enhance data analysis techniques to be more plentiful and accurate. So the report is survey of matrix analysis and calculus, which includes five main sections such as basic concepts, matrix analysis, matrix derivative, composite derivative, and applications of matrix. Matrix derivative and composite derivative are subjects of matrix calculus.
Keywords: Matrix Algebra, Matrix Analysis, Matrix Calculus.

In

Publisher: Lambert Academic Publishing, a trademark of OmniScriptum GmbH & Co. KG.
Address: OmniScriptum GmbH & Co. KG, HeinrichBöckingStr. 68, Saarbruecken 66121, Germany.
Website: https://www.lappublishing.com
Fax: +49 681 93 81 5679
Email: info@lappublishing.com, c.evans@lappublishing.com
Facebook: https://www.facebook.com/lappublishing
Editor: Carolyn Evans

Identifiers

ISBN13: 9783659694004, ISBN10: 3659694002
EAN: 9783659694004
Number of pages: 72

Links

https://www.shuyuan.sg/store/gb/book/matrixanalysisandcalculus/isbn/9783659694004

Citations

Nguyen, L. (2015, December 15). Matrix Analysis and Calculus (1st ed.). (C. Evans, Ed.) Hanoi, Vietnam: Lambert Academic Publishing. Retrieved from https://www.shuyuan.sg/store/gb/book/matrixanalysisandcalculus/isbn/9783659694004

Cited


Indexed


Metrics


Categories

Mathematics

Charged

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Last updated February 2017
Abstracting and indexing
